Category:Definitions/Roots of Unity

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This category contains definitions related to Roots of Unity.
Related results can be found in Category:Roots of Unity.


Let $n \in \Z_{> 0}$ be a strictly positive integer.

Let $F$ be a field.


The $n$th roots of unity of $F$ are defined as:

$U_n = \set {z \in F: z^n = 1}$